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A178299
Number of collinear point 4-tuples in a 6 X 6 X 6 X... n-dimensional cubic grid
0
0, 15, 234, 2820, 31176, 333840, 3546144, 37807680, 406924416, 4432154880
OFFSET
0,2
FORMULA
Conjecture: a(n) = 3*8^n+3*10^n/2-5*6^n+12^n/2. a(n)= 36*a(n-1) -476*a(n-2) +2736*a(n-3) -5760*a(n-4). G.f.: 3*x*(5-102*x+512*x^2)/((12*x-1)*(6*x-1)*(8*x-1)*(10*x-1)). [R. J. Mathar May 24 2010]
CROSSREFS
Sequence in context: A231411 A097185 A372195 * A097582 A351527 A057007
KEYWORD
nonn
AUTHOR
R. H. Hardin, suggested by R. J. Mathar in the Sequence Fans Mailing List, May 24 2010
STATUS
approved